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1. Below is strategic form for Grading on the Curve when players make their choices simultaneously. We constructed this strategic form in Lecture 3. Recall that a > c > f 2 0 and u > v 2 0 in this game. COL's Strategy many few ROW's many strategy C-u, C-u a-u, f-v few f-v, a-u c-V, C-V (a) Find specific values for the parameters a, c, f, u and v such that (few , few) is a strong dominant strategy equilibrium. Given the values you chose: is (few , few) a Nash equilibrium; is (few , few) a strict Nash equilibrium? (b) Think about this problem from part a) in a more general way. Find inequality restrictions on the parameter values such that (few , few) is a strong dominant strategy equilibrium, and provide an intuitive inter- pretation of the inequalities. (c) Find specific values for the parameters a, c, f, u and v such that both (many , many) and (few , few) are strict Nash equilibria. (d) Attack the problem from part c) in more general way, by finding in- equality restrictions on the parameter values such that both (many , many) and (few , few) are strict Nash equilibria, and provide an intu- itive interpretation of the inequalities.Question Four Order statistics are very useful tools for analyzing the properties of samples. 1. Write down the general formula of the pdf and cdf for the th order statistic of a sample of size n of a random variable X with CDF Fx(x). Question Five (Bain/Engelhardt p. 229) Let X] and X2 be a random sample of size n = 2 from a continuous distribution with pdf of the form f(x) = 2x if 0